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Finding the Fourth Proportional to 577.10, 860.74 and 507.84

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Solution

The fourth proportional to 577.10, 860.74 and 507.84 is: 757.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.10 : 860.74 = 507.84 : x
  2. Step 2: Convert to fraction form
    577.10/860.74 = 507.84/x
  3. Step 3: Cross multiply
    577.10x = 860.74 × 507.84
  4. Step 4: Simplify right side
    577.10x = 437,118.20
  5. Step 5: Solve for x
    x = 437,118.20/577.10
  6. Step 6: Final answer
    x = 757.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.